Finding the Third Proportional to 65,943 and 102,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,943 : 102,184.50 = 102,184.50 : x
2. Step 2: Convert to fraction form
   65,943/102,184.50 = 102,184.50/x
3. Step 3: Cross multiply
   65,943x = 102,184.50 × 102,184.50
4. Step 4: Simplify right side
   65,943x = 10,441,672,040.25
5. Step 5: Solve for x
   x = 10,441,672,040.25/65,943
6. Step 6: Final answer
   x = 158,343.90